Finding the Third Proportional to 17,739.50 and 29,564.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,739.50 : 29,564.75 = 29,564.75 : x
2. Step 2: Convert to fraction form
   17,739.50/29,564.75 = 29,564.75/x
3. Step 3: Cross multiply
   17,739.50x = 29,564.75 × 29,564.75
4. Step 4: Simplify right side
   17,739.50x = 874,074,442.56
5. Step 5: Solve for x
   x = 874,074,442.56/17,739.50
6. Step 6: Final answer
   x = 49,272.78